Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Radius of a sector of a circle is 21 cm. If length of arc of that sector is 55 cm, find the area of the sector. 

Answer»

Area of a sector = 1/2 × length of the arc × radius

= 1 / 2 × 55 × 21 

= 577.50 cm2 .

2.

The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric fieldA. `[MLT^(-1)]`B. `[ML^(2)T^(-2)]`C. `[ML^(-1)T^(-2)]`D. `[ML^(2)T^(-1)]`

Answer» `(1)/(2)epsilon_(0)E^(2)="Energy density"`
`=(E)/(V)=(M^(1)L^(2)T^(-2))/(L^(3))=M^(1)L^(-1)T^(-2)`
3.

In the figure shown rod `AB` is light and rigid while rod `CD` is also rigid and hinged at midpoint `O` Rod can rotate without friction about `O`. The time period of small oscillation of rod `CD` is `T=2pisqrt(m/(nk))`. Where `m` is mass of rod `CD` and `k` is spring constant of each spring. The value of `n` is

Answer» Correct Answer - 5
`(ml^(2))/12 alpha=-{(2ktheta)/2+(ktheta)/4}l^(2)impliesalpha=-((5k)/m)theta`
4.

In an undershot water wheel, the cross-sectional ara `a=0.1m^(2)` of the stream is striking the series of radial flat vanes of the wheel. The velocity of stream is `6m//s`. The velocity of vanes is `3m//s`. If the power supplied by jet (in watts) is `2700K` find `K`.

Answer» Correct Answer - 2
Mass of water striking vanes/sec`=rhoav`
Initial velocity `=v`
Final velocity of water `=u`
Change in velocity `=v-u`
`F=` force on the vane `=rhoav(v-u)`
Work done `=fxxu=rhoavu(v-u)=5400` watts
`impliesK=2`
5.

Consider a cuboidal vessel `(2Rxx2RxxR)` with as hemispherical cavity of radius `R`, kept at a horizontal smooth surface as shown in the figure. The vessel has very small hole of cross-sectional area "a". Now water of density `rho` is poured into space developed due horizontal surface adn vessel through hole very slowly. When the height of waer level is `h`, the vessel lifts off the surface and liquid leaks through space generated. `(R=2m, rho=10^(3)kg//m^(3),m=9pi kg)`. If the value of `h` is `5kcm`, find the value of `k`. (Atmospheric pressure `=10^(5)N//m^(2)`).

Answer» Correct Answer - 6
`mg=F_(B)=[piR^(2)h- int_(0)^(h)pi(R^(2)-z^(2))dz]rho gimpliesm=(pih^(3)rho)/3`
`implies h^(3)=(3m)/(pirho)=(3xxpixx9)/(pixx10^(3))impliesh= 3/10=0.3m=30m`
6.

Arm-chair, coffee-table, settee, scatter-cushion, ______. A) wall-unit B) walking stick C) hall-mirror D) coat hanger E) umbrella stand

Answer»

Correct option is  A) wall-unit

7.

Discuss the function of following sewing aids. a. Paper shear b. Tailor’s shear c. Pin cushion

Answer»

Paper shears/ scissors: A cutting instrument ranging in size from 8" to 12” blades. It is used to cut paper patterns. 

Tailor's shears: A cutting instrument ranging in size from 12" to 16” blades. It is used to cut fabric and muslin. 

Pin cushion: It is used to hold pins, needles for easy accessibility and storage.

8.

A cyclist moves uniformaly on a horizontal circular track of radius 100 m . If the cofficient of friction is 0.1. At which of the following speed (s) can he travel without slippingA. 5 m/sB. 9 m/sC. 14 m/sD. none of these

Answer» Correct Answer - A::B
9.

A small ball is kept on the top of a sphere of radius `R`. The sphere start accelerating with constant acceleration of `10m//s^(2)` horizontally. The angle of radial line with the vertical at which small ball leaves the sphere is `1/2 sin^(-1)(K//9)`. Find the value of `K`. [take `g=10m//s^(2)`]

Answer» Correct Answer - 5
5
10.

Regarding factors affecting the image: a. Curvature of the output screen causes a pin cushion effect b. S-type distortion is caused by the magnetic field influencing the path of electrons c. Images in intensifiers are magnified towards the centre d. The vignetting effect is reduced by curving the input screen e. Less electron focusing at the periphery causes less distortion at the peripheral parts of the image 

Answer»

a. False. Curvature of the input screen is responsible for the pin cushion effect. 

b. True. 

c. False. They are magnified towards the edges; this is called the pin cushion effect. 

d. True. 

e. False. Electrons are less focused at the periphery causing increased brightness and resolution in the centre and less distortion in the centre; these effects are more pronounced in a larger intensifier.

11.

A potential energy curve `U(x)` is shown in the figure. What value must the mechanical energy `E_(mec)` of the particle not exceed, if the particle is to be trapped within the region shown in graph? .A. 3 JB. 5 JC. 6 JD. 8 J

Answer» Correct Answer - C
12.

Potential energy function along `x-`axis in a certain force field is given as `U(x)=(x^(4))/(4)-2x^(2)+(11)/(2)x^(2)-6x` For the given force field `:-` (i)the points of equilibrium are `x=1`, `x=2` and `x=3` (ii) the point `x=2` is a point of unstable equilibrium. (iii) the points `x=1` and `x=3` are points of stable equilibrium. (iv) there exists no point of neutral equilibrium. The correct option is `:-`A. `(i),(ii),(iv)`B. `(i),(ii),(iii),(iv)`C. (iii),(iv)D. (ii),(iii)

Answer» Correct Answer - B
For equilibrium
points,
`F=-(dU)/(dx)=0rArrx^(3)-6x^(2)+11x-6=0rArrx=`
`1,x=2` and `x=3`
In stable equilibrium , `(d^(2)U)/(dx)gt0rArrx=1` and `x=3` are stable while `x=2` is unstable.
In neutral equilibrium, `(dU)/(dx)=0` and `(d^(2)U)/(dx)=0`
13.

Bottom of a glass beaker is made of a thin equi-convex lens having bottom side silver polished as shown in the figure. Water is filled in the beaker upto a height 4m. The image of poin to bject,floating at middle point of beaker at the surface of water coincides with it. Find out ther adius of curvature of the lens.Given that refractive index of glass is 3/2 and that of water is 4/3.

Answer» Focal length of the silvered lens `=-4/2=-2m`
`(f_(l))omega=4(f_(l))a=4R`
`-1/F=2/((f_(l)omega))-1/(f_(m))`
`2/(4R)-1/(-R/2)=5/(2R)`
`impliesR=-(5F)/2=5m`
14.

Track `OABCD` (as shown is figure) is smooth and fixed in vertical plane. What minimum speed has to be given to a particle lying at point `A`, so that it can reach point `C`? A. `60m//s`B. `100m//s`C. `70m//s`D. `80m//s`

Answer» Correct Answer - D
Apply work energy theorem between point `A` & `B` we will get
`v=sqrt(2gh)=sqrt(2xx10xx320)=80m//s`
15.

A partical of mass `2kg` is moving on the `x-`axis with a constant mechanical energy `20 J`. Its potential energy at any `x` is `U=(16-x^(2))J` where `x` is in metre. The minimum velocity of particle is `:-`A. `2m//s`B. `4m//s`C. `6m//s`D. zero

Answer» Correct Answer - A
From expression of potential energy Maximum
`PE=16J` so minimum `KE=4J`
Therefore `(1)/(2)xx2xxv^(2)=4rArrv=2m//s`
16.

If standard heat of dissociation of `PCl_(5)` is 230 atm cal than slope of the graph of `log k ` vs` (1)/(T) ` is `:` A. `+50`B. `-50`C. `10`D. None

Answer» Correct Answer - 2
17.

A particle of charge `= 1 muC` and mass m=1 gm starts moving from origin at t = 0 under an electric field of `10^(3) N//C` along x-axis and magnetic field of 10 tesla along the same axis with the velocity of `vec(v) = 20 hat(j)` m/sec as shown, the speed of the particle at the time of `20 sqrt(3)sec` will be : A. 20 m/secB. 40 m/secC. 10 m/secD. None

Answer» Correct Answer - B
As `V^(2)=V_(x)^(2)V_(y)^(2)=((qE)/(m)t)^(2)+(20)^(2)`
`=((10^(-6)10^(3))/(10^(-3))20 sqrt(3))^(2)+(20)^(2)=1600`
`V = 40 m//sec`
18.

`S_(1)` : Even at different temperature and pressure, equal volume of all the gases contains equal number of moles. `S_(2) : 11.2 L CO_(2)(g)` at `STP` contains the same number of free entity as `22.4 L O_(2)(g)` at `STP`. `S_(3) :` If reacting species in a reaction are not taken in their stoichiometric coefficient ratio then one of the reactant will be limiting reagent. `S_(4) :` If two different solutions having different solute are mixed in certain volume proportion then resulting concentration of the components will decrease.A. `F F T T `B. `T T F F `C. `T F T F`D. `F T F T `

Answer» Correct Answer - 1
19.

One mole of helium gas follow cycle `1-2-3-1` shown in the diagram. During process `3-1`, the internal energy `(U)` of the gas depends on its volume `(V)` as `U=bV^(2)`, where `b` is a positive constant. If gas releases the amount of heat `Q` during process `3-1` and gas absorbs the amount of heat `Q_(2)` during process `1rarr2rarr3`. The value of ratio of volume of gas in state `-3(V_(3))` to that of gas in state `-1(V_(1))` is:A. `(1)/(2)`B. `(2)/(1)`C. `(1)/(3)`D. None of these.

Answer» Correct Answer - B
20.

An atwood machine is setup in an elevator moving upward at `5 m//s` and slowing down at `2m//s^(2)` The initial velocity of block B is `2m//s` upward and the acceleration of block A is `3 m//s^(2)` downwards Find the time (in sec) at which block B will return to its initial position. Assume the string remains taut and the acceleration of the elevator does not change during the required time interval

Answer» Correct Answer - `4 sec`
`v_(B)+v_(A)=2v_(P)=2xx5`
`2+v_(A)=10 Rightarrow v_(A)=8 uparrow`
`a_(B)+a_(A)=2a_(P)=2xx-2`
`a_(B) -3=-4`
`a_(B)=-1`
`s=0=2xxt-1/2xx1xxt^(2)`
`t=4 sec`
21.

In the ideal atwood machine arrangement shown, what is the change in kinetic energy of the system in `(1)/(sqrt2)`second of their motion starting from rest ? A. `1J`B. `2J`C. `4J`D. `5J`

Answer» Correct Answer - D
Acceleration`=(3g-2g)/(5)=2m//s^(2)` so
`v=2xx(1)/(sqrt2)=sqrt2m//s`
`:.DeltaE=(1)/(2)(2)(sqrt2)^(2)+(1)/(2)(3)(sqrt2)^(2)=5`
22.

A uniform conducting ring of mass `pi` kg and radius 1 m is kept on smooth horizontal table. A uniform but time varying magnetic field `B = (hat (i) + t^(2) hat (j))T` is present in the region, where t is time in seconds. Resistance of ring is `2 (Omega)`. Then Time (in second) at which ring start toppling isA. `10/(pi)sec`B. `20/(pi)sec`C. `5/(pi)sec`D. `25/(pi)sec`

Answer» Correct Answer - A
`1=1/R |(dphi)/(dt)|=1/2pixx1^(2): 2t=pit`
The ring will start toppling when
`tau_(m)=tau_(g)`
`impliesIAB_(x)=mgr`
`impliespitxxpixx1^(2)xx1=pixx10xx1`
`impliest=10/(pi)`sec
23.

figure shows a smooth cart on a smooth surface (with small wheels) with an atwood machine on it. An external force P acts on cart. Following statements are based on given situation. The system starts from rest. Statement-1: The magnitudes of velocities of blocks `m_(1)` and `m_(2)` with respect pulley are same. Statement-2: If the string connecting the two blocks is to remain taut, relative to the centre of the pulley, velocities of blocks must be equal and opposite.A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.C. Statement-1 is true, statement-2 is false.D. Statement -1 is false, statement -2 is true.

Answer» Correct Answer - B
String gets slack therefore velocity of each block is zero.
24.

A uniform conducting ring of mass `pi` kg and radius 1 m is kept on smooth horizontal table. A uniform but time varying magnetic field `B = (hat (i) + t^(2) hat (j))T` is present in the region, where t is time in seconds. Resistance of ring is `2 (Omega)`. Then Heat generated (in kJ) through the ring till the instant when ring start toppling isA. `1/(3pi)kJ`B. `2/(pi)kJ`C. `2/(3pi)kJ`D. `1/(pi)kJ`

Answer» Correct Answer - C
Heat generated
`H=int_(0)^(10//pi) I^(2)Rd=int_(0)^(10//pi) pi^(2)t^(2)xx2xxdt`
`=2000/(3pi)J=2/(3pi)kJ`
25.

How many types of drugs are found? (a) One (b) Two (c) Three (d) Many

Answer»

Two  types of drugs are found.

26.

A uniform conducting ring of mass `pi` kg and radius 1 m is kept on smooth horizontal table. A uniform but time varying magnetic field `B = (hat (i) + t^(2) hat (j))T` is present in the region, where t is time in seconds. Resistance of ring is `2 (Omega)`. Then Induced electric field (in volt/meter) at the circumference of ring at the instant ring start toppling isA. `(10)/(pi)`B. `(20)/(pi)`C. `(5)/(pi)`D. `(25)/(pi)`

Answer» Correct Answer - A
Given, `vec(A)= pi a^(2) hat(j) and B = (hat(i) +t^(2) hat(j))`
Associated flux is `phi = vec(B).vec(A)= pi a^(2)t^(2)`
Differentiating , `e= -2 pi a^(2)t`
Thus, induced electric field is
`E=(e)/(2 pi a) = at`
If induced current is I, Torque due to its weight is `pi g a`
Torque due to applied field is `vec(tau) = I vec(A) xx vec(B)=-pi a^(2)Ivec(k)`
where `I=e//R`
Ring just begins to topple when torque due to field become numerically equal to torque due to weight of ring.
`pi a^(2)* (2 pi a^(2)t)/(R)=pi ga`. Putting `a=1m` and `R=2 Omega`, we get `t= (10)/(pi)s`
Further, heat produced in time t is
`H=int (e^2)/(R) dt = (4Pi^(2)a^(4))/(R) * (T^3)/(3)`
Substituting value of time,
Subsituting value of time,
`H=(2000)/(3 pi)J`
Induced electric field at the circumference of ring at the instant ring start toppling is `E=at = (10)/(pi)`.
27.

Active immunity is discovered by- (a) Robert Koch (b) Louis Pasture (c) Edward Jener (d) None of the above

Answer»

(d) None of the above

28.

What is the fluid that fills the nucleus called?

Answer»

The aqueous fluid that fills the nuclear the region is called karyolymph, or nucleoplasm. In the fluid, there are proteins, enzymes and other important substances for nuclear metabolism.

29.

Of what substances is the nucleolus made? Is there a membrane around the nucleolus?

Answer»

Nucleolus is a region within the nucleus made of ribosomal RNA (rRNA) and proteins. It is not delimited by a membrane.

30.

What are mitochondria? What is the basic morphology of these organelles and in which cells can they be found?

Answer»

Mitochondria are the organelles in which the most important part of the cellular respiration occurs the ATP production.

Mitochondria are organelles delimited by two lipid membranes. The inner membrane invaginates to the interior of the organelle forming cristae that delimitate the internal space known as mitochondrial matrix and where mitochondrial DNA (mtDNA), mitochondrial RNA (mt RNA),

mitochondrial ribosomes and respiratory enzymes can be found. Mitochondria are numerous in eukaryotic cells and they are even more abundant in those cells that use more energy, like muscle cells. Because they have their own DNA, RNA and ribosome

31.

Statement-1: Evaporation cools our body. Statement-2: When a body radiates, some energy is lost to the surroundings.A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.C. Statement-1 is true, statement-2 is false.D. Statement -1 is false, statement -2 is true.

Answer» Correct Answer - B
While evaporation water takes heat of transformation so that our body cool down
32.

A choke coil is connected to an AC source. Some power is dissipated in coil. Now a capacitor is connected in series with the coil and source is same, then average power dissipated in the circuit does not changes. If ratio of inductive reactance of coil and capacitive reactance of capacitor is` 1/x` then find x

Answer» Correct Answer - 2
`z_(1)=z_(2)`
`R^(2)+omega^(2)L^(2)=R^(2)+(omegaL-(1)/(omegac))^(2)`
`impliesomegaL=|omegaL-(1)/(omegac)|implies(1)/(omegac)=2omegaLimplies(1)/(2)=(omegaL)/(1//omegac)`
33.

A uniform wire of length l carrying current radiates energy at a rate P to environment while its temperature remains the same. Magnitude of magnetic flux density on the surface of wire is B and its diameter is d. If electric field strenght in wire is given by `E=(nmu_(0)P)/(Bpild)`, then find n.

Answer» Correct Answer - 1
`P=VI=ElIand B=(mu_(0)I)/(2pir)=(mu_(0)I)/(pid)`
`implies(P)/(El) = (Bpid)/(mu_(0))impliesE=(mu_(0)P)/(Bpild)`
34.

A current of i=300t is suddenly applied to an inductence of 1mh . Find induced emf?

Answer» 0.3 volt............
35.

In an accident ascending tract of spinal cord of a person was damaged. Which activity will be hampered?

Answer» The sensory impulses from the outer environment will not conduct the impulse to the brain if the ascending tract of spinal cord of a person is damaged.
36.

Give the function of arbor vitae.

Answer» Arbor vitae is present in the region of cerebellum where inner white matter of cerebellar medulla sends branching processes in grey cortex. It brings sensory and motor information to and from the cerebellum.
37.

Write a short note on substitution reaction of alkanes.

Answer»

Substitution Reaction of Alkanes

The atoms attached to carbon are replaced by the other atoms or compounds to make a new product.

e.g. methane reacts with Chloride in the presence of light to replace H-atom by Cl to make chloromethane.

CH4​ + Cl2​ →CH3​Cl + HCl

38.

State whether of following statement is true or false : The volume of gas molecules is taken into consideration in Avogadro's law.

Answer»

The volume of gas molecules is taken into consideration in Avogadro's law is True

39.

For a solid, how many types of thermal expansion coefficients are there?(a) one (b) two (c) three (d) four

Answer»

The correct option is (c) three.

40.

The product of volume and pressure of how many gram of N2 gas is 224 litre atmosphere at STP [N = 14]

Answer» Given PV = 224 L- atm at STP

T = 273 K, m = ?

Applying ideal gas equation PV = nRT

PV = M/m RT

224 = m/28 × 0.082 × 273

m = 280 g
41.

 Which one of the following has the highest wavelength? (a) x-ray (b) γ.-ray (c) infrared ray (d) ultraviolet ray

Answer»

The correct option is (c) infrared ray.

42.

In case of refraction, if the angle of incidence and the angle of refraction are 45º and 30º respectively, then the angle of deviation is (a) 75º (b) 15º (c) 7.5º (d) 37.5º 

Answer»

The correct option is (b) 15º

43.

Which of the following is/are correctly matched?A. `underset(NH_(2))underset(|)CH_(2)underset(NH_(2))underset(|)CH_(2)` (Ethylenediamine)B. `CH_(3)NH_(2)` ..(Methylamine)C. `H_(2)N-CH_(2)-CH_(2)-NH-CH_(2)-CH_(2)-NH_(2)` (Diethylenetriamine (dien))D. `underset(CH_(3)-C=N-OH)(CH_(3)-underset(|)C=N-O)H` (Dimethylglyoximate)

Answer» Correct Answer - A::B::C
`underset(CH_(3)-C=N-OH)underset(|)(CH_(3)-C=N-)OH` (Dimethyl glyoxime)
44.

State whether the following statement is true or false: The constituent particles of a material change position during conduction of heat through it.

Answer»

No, The constituent particles of a material change position during conduction of heat through it.

45.

You are given a solution of 50 mL, 0.1 M NaOH, then which of the following statements is/are correct:A. On addition of 450 mL of water to this solution pH becomes 13B. on addition of 100 mL, 0.1M `CH_(3)COOH` buffer solution will formC. On addition of 50 mL, `0.1MCH_(3)COOHpH` becomes 9.5 `(pKa` of `CH_(3)COOH=4.74,log5=0.7)`D. On addition of 25 mL of 0.1 M `CH_(3)COOH` pH becomes 12.5 `(log3=0.5)`

Answer» Correct Answer - B::D
(A). `underset(pH=12)(OH^(-))=(50xx0.1)/(500)=10^(-2)`
(B). `underset(5)underset(10)CH_(3)COOH+underset(0)underset(5)NaOHtoCH_(3)COONa+H_(2)O`
(C). `underset(0)underset(5)CH_(3)COOH+underset(0)underset(5)NaOHtounderset(5)(CH_(3)COONa+H_(2)O)`
`pH=7+(1)/(2)xx4.74+(1)/(2)log(5)/(100)=8.72`
(D). `CH_(3)COOH+NaOHtoCH_(3)COONa+H_(2)O`
`[OH^(-)]=(2.5)/(75)=(1)/(30)M`
46.

Determine the potential of the following cell: `Pt|H_(2)(g,0.1bar)|H^(+)(aq,10^(-3)M)| |` `MnO_(4)^(-)(aq,0.1M),Mn^(2+)(aq,0.01M),` `H^(+)(aq.0.01M)|Pt` Given :`E_(MnO_(4)^(-)|Mn^(2+))^(0)=1.51V`A. `1.54V`B. `1.48V`C. `1.84V`D. `1.51`

Answer» Correct Answer - B
Anode `H_(2(g))rarr2H^(+)(aq)+2e^(-)`
(i)Cathode `MnO_(4)^(-)+8H^(+)+5e^(-)rarrMn^(2+)+4H_(2)O`
(ii)
`(i)xx(5)`
`(ii)xx(2)`
`E=E^(o)-(0.06)/(10)log,([Mn^(2+)]^(2)[H^(+)]_(a)^(10))/([MnO_(4)^(-)][H^(+)]_(ca)^(16)P_(H2)^(5))`
`=1.51-(0.06)/(10)log,((10^(-2))^(2)xx(10^(-3))^(10))/((10^(-1))^(2)xx(10^(-2))^(16)(10^(-1))^(5))`
`=1.51-(0.06)/(10)log10^(5)`
`=1.51-0.03=1.48V`
47.

For non ideal solution (positive deviation) which of the following is/are correct?A. `DeltaS_("surrounding")=+ve`B. `DeltaS_("surrounding")=-ve`C. `DeltaG_("mixing")=-ve`D. `DeltaH_("mixing")=+ve`

Answer» Correct Answer - B::C::D
For positive deviation solution the inter molecular interation is weaker as interaction found in any one of he pure components.
48.

Temperature remaining unchanged if the potential difference between the two ends of a conductor is V and the current through the conductor is I, which of the following is true? (a) V ∝ 1 (b) V ∝ 2 (c) V ∝ –1 (d) V ∝ –2 

Answer»

The correct option is (a) V ∝ I

49.

The total vapour pressure of equimolar solution of benzene and toluene is given by `P_(T)` (in mm Hg) `=600-400X_("toluene")` then:A. `p_("benzene")=200mmHg`B. `p_("benzene")^(0)=600mmHg`C. `p_("toluene")^(0)=200mmHg`D. `p_("toluene")^(0)=600mmHg`

Answer» Correct Answer - B::C
for `p_("toluene")^(0)` , `X_("toluene")=1`
Then `P_("toluene")=200`
& for `P_("Benzene"), X_("benzene")=1&X_("toluene")=0`
So `P_("Benzene")=600`
50.

The width and the cross-section of a conductor remaining unchanged, what is the relation between the 'thermal resistance and thermal conductivity of that conductor ? 

Answer»

R = L/KA , Where R is thermal resistance and K is thermal conductivity.